Divisors Identity

Inclusive of 1 and itself, let \(d_1,d_2,\ldots,d_n\) denote the distinct positive divisors of positive integer \(N\). Given that \(\displaystyle \sum_{m=1}^n d_m = 4056 \times18\) and \(\displaystyle \sum_{m=1}^n \frac1{d_m} = \frac{4056}{25\times55} \), find the value of \(N\).

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